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Finding the Third Proportional to 465,948 and 736,464

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Solution

The third proportional to 465,948 and 736,464 is: 1,164,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,948 : 736,464 = 736,464 : x
  2. Step 2: Convert to fraction form
    465,948/736,464 = 736,464/x
  3. Step 3: Cross multiply
    465,948x = 736,464 × 736,464
  4. Step 4: Simplify right side
    465,948x = 542,379,223,296
  5. Step 5: Solve for x
    x = 542,379,223,296/465,948
  6. Step 6: Final answer
    x = 1,164,033.80

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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.