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Finding the Third Proportional to 526,902 and 781,209

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Solution

The third proportional to 526,902 and 781,209 is: 1,158,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,902 : 781,209 = 781,209 : x
  2. Step 2: Convert to fraction form
    526,902/781,209 = 781,209/x
  3. Step 3: Cross multiply
    526,902x = 781,209 × 781,209
  4. Step 4: Simplify right side
    526,902x = 610,287,501,681
  5. Step 5: Solve for x
    x = 610,287,501,681/526,902
  6. Step 6: Final answer
    x = 1,158,256.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.