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Finding the Third Proportional to 475,805 and 700,565

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Solution

The third proportional to 475,805 and 700,565 is: 1,031,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,805 : 700,565 = 700,565 : x
  2. Step 2: Convert to fraction form
    475,805/700,565 = 700,565/x
  3. Step 3: Cross multiply
    475,805x = 700,565 × 700,565
  4. Step 4: Simplify right side
    475,805x = 490,791,319,225
  5. Step 5: Solve for x
    x = 490,791,319,225/475,805
  6. Step 6: Final answer
    x = 1,031,496.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.