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Finding the Third Proportional to 560,403 and 875,601

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Solution

The third proportional to 560,403 and 875,601 is: 1,368,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,403 : 875,601 = 875,601 : x
  2. Step 2: Convert to fraction form
    560,403/875,601 = 875,601/x
  3. Step 3: Cross multiply
    560,403x = 875,601 × 875,601
  4. Step 4: Simplify right side
    560,403x = 766,677,111,201
  5. Step 5: Solve for x
    x = 766,677,111,201/560,403
  6. Step 6: Final answer
    x = 1,368,081.74

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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.