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Finding the Third Proportional to 503,019 and 761,032

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Solution

The third proportional to 503,019 and 761,032 is: 1,151,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,019 : 761,032 = 761,032 : x
  2. Step 2: Convert to fraction form
    503,019/761,032 = 761,032/x
  3. Step 3: Cross multiply
    503,019x = 761,032 × 761,032
  4. Step 4: Simplify right side
    503,019x = 579,169,705,024
  5. Step 5: Solve for x
    x = 579,169,705,024/503,019
  6. Step 6: Final answer
    x = 1,151,387.33

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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.