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Finding the Third Proportional to 487,314 and 730,971

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Solution

The third proportional to 487,314 and 730,971 is: 1,096,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,314 : 730,971 = 730,971 : x
  2. Step 2: Convert to fraction form
    487,314/730,971 = 730,971/x
  3. Step 3: Cross multiply
    487,314x = 730,971 × 730,971
  4. Step 4: Simplify right side
    487,314x = 534,318,602,841
  5. Step 5: Solve for x
    x = 534,318,602,841/487,314
  6. Step 6: Final answer
    x = 1,096,456.50

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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.