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Finding the Third Proportional to 461,608 and 730,321

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Solution

The third proportional to 461,608 and 730,321 is: 1,155,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,608 : 730,321 = 730,321 : x
  2. Step 2: Convert to fraction form
    461,608/730,321 = 730,321/x
  3. Step 3: Cross multiply
    461,608x = 730,321 × 730,321
  4. Step 4: Simplify right side
    461,608x = 533,368,763,041
  5. Step 5: Solve for x
    x = 533,368,763,041/461,608
  6. Step 6: Final answer
    x = 1,155,458.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.