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Finding the Third Proportional to 292,210.50 and 702,034.50

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Solution

The third proportional to 292,210.50 and 702,034.50 is: 1,686,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210.50 : 702,034.50 = 702,034.50 : x
  2. Step 2: Convert to fraction form
    292,210.50/702,034.50 = 702,034.50/x
  3. Step 3: Cross multiply
    292,210.50x = 702,034.50 × 702,034.50
  4. Step 4: Simplify right side
    292,210.50x = 492,852,439,190.25
  5. Step 5: Solve for x
    x = 492,852,439,190.25/292,210.50
  6. Step 6: Final answer
    x = 1,686,634.94

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.