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Finding the Third Proportional to 731,000 and 1,096,502

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Solution

The third proportional to 731,000 and 1,096,502 is: 1,644,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,000 : 1,096,502 = 1,096,502 : x
  2. Step 2: Convert to fraction form
    731,000/1,096,502 = 1,096,502/x
  3. Step 3: Cross multiply
    731,000x = 1,096,502 × 1,096,502
  4. Step 4: Simplify right side
    731,000x = 1,202,316,636,004
  5. Step 5: Solve for x
    x = 1,202,316,636,004/731,000
  6. Step 6: Final answer
    x = 1,644,756.00

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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.