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Finding the Third Proportional to 498,972 and 714,897

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Solution

The third proportional to 498,972 and 714,897 is: 1,024,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,972 : 714,897 = 714,897 : x
  2. Step 2: Convert to fraction form
    498,972/714,897 = 714,897/x
  3. Step 3: Cross multiply
    498,972x = 714,897 × 714,897
  4. Step 4: Simplify right side
    498,972x = 511,077,720,609
  5. Step 5: Solve for x
    x = 511,077,720,609/498,972
  6. Step 6: Final answer
    x = 1,024,261.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.