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Finding the Third Proportional to 502,359 and 753,628.50

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Solution

The third proportional to 502,359 and 753,628.50 is: 1,130,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,359 : 753,628.50 = 753,628.50 : x
  2. Step 2: Convert to fraction form
    502,359/753,628.50 = 753,628.50/x
  3. Step 3: Cross multiply
    502,359x = 753,628.50 × 753,628.50
  4. Step 4: Simplify right side
    502,359x = 567,955,916,012.25
  5. Step 5: Solve for x
    x = 567,955,916,012.25/502,359
  6. Step 6: Final answer
    x = 1,130,577.77

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