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Finding the Third Proportional to 508,070 and 743,032

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Solution

The third proportional to 508,070 and 743,032 is: 1,086,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,070 : 743,032 = 743,032 : x
  2. Step 2: Convert to fraction form
    508,070/743,032 = 743,032/x
  3. Step 3: Cross multiply
    508,070x = 743,032 × 743,032
  4. Step 4: Simplify right side
    508,070x = 552,096,553,024
  5. Step 5: Solve for x
    x = 552,096,553,024/508,070
  6. Step 6: Final answer
    x = 1,086,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.