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Finding the Third Proportional to 503,412 and 761,566

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Solution

The third proportional to 503,412 and 761,566 is: 1,152,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,412 : 761,566 = 761,566 : x
  2. Step 2: Convert to fraction form
    503,412/761,566 = 761,566/x
  3. Step 3: Cross multiply
    503,412x = 761,566 × 761,566
  4. Step 4: Simplify right side
    503,412x = 579,982,772,356
  5. Step 5: Solve for x
    x = 579,982,772,356/503,412
  6. Step 6: Final answer
    x = 1,152,103.59

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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.