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Finding the Third Proportional to 560,394 and 875,583

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Solution

The third proportional to 560,394 and 875,583 is: 1,368,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,394 : 875,583 = 875,583 : x
  2. Step 2: Convert to fraction form
    560,394/875,583 = 875,583/x
  3. Step 3: Cross multiply
    560,394x = 875,583 × 875,583
  4. Step 4: Simplify right side
    560,394x = 766,645,589,889
  5. Step 5: Solve for x
    x = 766,645,589,889/560,394
  6. Step 6: Final answer
    x = 1,368,047.46

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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.