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Finding the Third Proportional to 346,245 and 521,644.50

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Solution

The third proportional to 346,245 and 521,644.50 is: 785,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,245 : 521,644.50 = 521,644.50 : x
  2. Step 2: Convert to fraction form
    346,245/521,644.50 = 521,644.50/x
  3. Step 3: Cross multiply
    346,245x = 521,644.50 × 521,644.50
  4. Step 4: Simplify right side
    346,245x = 272,112,984,380.25
  5. Step 5: Solve for x
    x = 272,112,984,380.25/346,245
  6. Step 6: Final answer
    x = 785,897.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.