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Finding the Third Proportional to 569,129 and 761,265

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Solution

The third proportional to 569,129 and 761,265 is: 1,018,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,129 : 761,265 = 761,265 : x
  2. Step 2: Convert to fraction form
    569,129/761,265 = 761,265/x
  3. Step 3: Cross multiply
    569,129x = 761,265 × 761,265
  4. Step 4: Simplify right side
    569,129x = 579,524,400,225
  5. Step 5: Solve for x
    x = 579,524,400,225/569,129
  6. Step 6: Final answer
    x = 1,018,265.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.