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Finding the Third Proportional to 560,395 and 875,588

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Solution

The third proportional to 560,395 and 875,588 is: 1,368,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,395 : 875,588 = 875,588 : x
  2. Step 2: Convert to fraction form
    560,395/875,588 = 875,588/x
  3. Step 3: Cross multiply
    560,395x = 875,588 × 875,588
  4. Step 4: Simplify right side
    560,395x = 766,654,345,744
  5. Step 5: Solve for x
    x = 766,654,345,744/560,395
  6. Step 6: Final answer
    x = 1,368,060.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.