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Finding the Third Proportional to 464,947 and 710,758

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Solution

The third proportional to 464,947 and 710,758 is: 1,086,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,947 : 710,758 = 710,758 : x
  2. Step 2: Convert to fraction form
    464,947/710,758 = 710,758/x
  3. Step 3: Cross multiply
    464,947x = 710,758 × 710,758
  4. Step 4: Simplify right side
    464,947x = 505,176,934,564
  5. Step 5: Solve for x
    x = 505,176,934,564/464,947
  6. Step 6: Final answer
    x = 1,086,525.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.