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Finding the Third Proportional to 477,688 and 745,584

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Solution

The third proportional to 477,688 and 745,584 is: 1,163,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,688 : 745,584 = 745,584 : x
  2. Step 2: Convert to fraction form
    477,688/745,584 = 745,584/x
  3. Step 3: Cross multiply
    477,688x = 745,584 × 745,584
  4. Step 4: Simplify right side
    477,688x = 555,895,501,056
  5. Step 5: Solve for x
    x = 555,895,501,056/477,688
  6. Step 6: Final answer
    x = 1,163,720.88

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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.