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Finding the Third Proportional to 502,972 and 760,959

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Solution

The third proportional to 502,972 and 760,959 is: 1,151,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,972 : 760,959 = 760,959 : x
  2. Step 2: Convert to fraction form
    502,972/760,959 = 760,959/x
  3. Step 3: Cross multiply
    502,972x = 760,959 × 760,959
  4. Step 4: Simplify right side
    502,972x = 579,058,599,681
  5. Step 5: Solve for x
    x = 579,058,599,681/502,972
  6. Step 6: Final answer
    x = 1,151,274.03

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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.