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Finding the Third Proportional to 569,127 and 761,262

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Solution

The third proportional to 569,127 and 761,262 is: 1,018,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,127 : 761,262 = 761,262 : x
  2. Step 2: Convert to fraction form
    569,127/761,262 = 761,262/x
  3. Step 3: Cross multiply
    569,127x = 761,262 × 761,262
  4. Step 4: Simplify right side
    569,127x = 579,519,832,644
  5. Step 5: Solve for x
    x = 579,519,832,644/569,127
  6. Step 6: Final answer
    x = 1,018,261.01

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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.