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Finding the Third Proportional to 502,350 and 754,649

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Solution

The third proportional to 502,350 and 754,649 is: 1,133,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,350 : 754,649 = 754,649 : x
  2. Step 2: Convert to fraction form
    502,350/754,649 = 754,649/x
  3. Step 3: Cross multiply
    502,350x = 754,649 × 754,649
  4. Step 4: Simplify right side
    502,350x = 569,495,113,201
  5. Step 5: Solve for x
    x = 569,495,113,201/502,350
  6. Step 6: Final answer
    x = 1,133,662.01

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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.