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Finding the Third Proportional to 344,710,210.50 and 515,843,977.50

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Solution

The third proportional to 344,710,210.50 and 515,843,977.50 is: 771,938,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,710,210.50 : 515,843,977.50 = 515,843,977.50 : x
  2. Step 2: Convert to fraction form
    344,710,210.50/515,843,977.50 = 515,843,977.50/x
  3. Step 3: Cross multiply
    344,710,210.50x = 515,843,977.50 × 515,843,977.50
  4. Step 4: Simplify right side
    344,710,210.50x = 266,095,009,123,020,512
  5. Step 5: Solve for x
    x = 266,095,009,123,020,512/344,710,210.50
  6. Step 6: Final answer
    x = 771,938,286.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.