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Finding the Third Proportional to 456,616 and 727,207

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Solution

The third proportional to 456,616 and 727,207 is: 1,158,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,616 : 727,207 = 727,207 : x
  2. Step 2: Convert to fraction form
    456,616/727,207 = 727,207/x
  3. Step 3: Cross multiply
    456,616x = 727,207 × 727,207
  4. Step 4: Simplify right side
    456,616x = 528,830,020,849
  5. Step 5: Solve for x
    x = 528,830,020,849/456,616
  6. Step 6: Final answer
    x = 1,158,150.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.