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Finding the Third Proportional to 566,908 and 877,746

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Solution

The third proportional to 566,908 and 877,746 is: 1,359,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,908 : 877,746 = 877,746 : x
  2. Step 2: Convert to fraction form
    566,908/877,746 = 877,746/x
  3. Step 3: Cross multiply
    566,908x = 877,746 × 877,746
  4. Step 4: Simplify right side
    566,908x = 770,438,040,516
  5. Step 5: Solve for x
    x = 770,438,040,516/566,908
  6. Step 6: Final answer
    x = 1,359,017.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.