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Finding the Third Proportional to 464,934.94 and 625,588.31

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Solution

The third proportional to 464,934.94 and 625,588.31 is: 841,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,934.94 : 625,588.31 = 625,588.31 : x
  2. Step 2: Convert to fraction form
    464,934.94/625,588.31 = 625,588.31/x
  3. Step 3: Cross multiply
    464,934.94x = 625,588.31 × 625,588.31
  4. Step 4: Simplify right side
    464,934.94x = 391,360,736,736.60
  5. Step 5: Solve for x
    x = 391,360,736,736.60/464,934.94
  6. Step 6: Final answer
    x = 841,753.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.