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Finding the Third Proportional to 503,414 and 761,569

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Solution

The third proportional to 503,414 and 761,569 is: 1,152,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,414 : 761,569 = 761,569 : x
  2. Step 2: Convert to fraction form
    503,414/761,569 = 761,569/x
  3. Step 3: Cross multiply
    503,414x = 761,569 × 761,569
  4. Step 4: Simplify right side
    503,414x = 579,987,341,761
  5. Step 5: Solve for x
    x = 579,987,341,761/503,414
  6. Step 6: Final answer
    x = 1,152,108.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.