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Finding the Third Proportional to 497,988 and 761,562

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Solution

The third proportional to 497,988 and 761,562 is: 1,164,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,988 : 761,562 = 761,562 : x
  2. Step 2: Convert to fraction form
    497,988/761,562 = 761,562/x
  3. Step 3: Cross multiply
    497,988x = 761,562 × 761,562
  4. Step 4: Simplify right side
    497,988x = 579,976,679,844
  5. Step 5: Solve for x
    x = 579,976,679,844/497,988
  6. Step 6: Final answer
    x = 1,164,639.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.