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Finding the Third Proportional to 475,844 and 700,617

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Solution

The third proportional to 475,844 and 700,617 is: 1,031,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,844 : 700,617 = 700,617 : x
  2. Step 2: Convert to fraction form
    475,844/700,617 = 700,617/x
  3. Step 3: Cross multiply
    475,844x = 700,617 × 700,617
  4. Step 4: Simplify right side
    475,844x = 490,864,180,689
  5. Step 5: Solve for x
    x = 490,864,180,689/475,844
  6. Step 6: Final answer
    x = 1,031,565.35

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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.