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Finding the Third Proportional to 403,615.13 and 633,210.75

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Solution

The third proportional to 403,615.13 and 633,210.75 is: 993,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,615.13 : 633,210.75 = 633,210.75 : x
  2. Step 2: Convert to fraction form
    403,615.13/633,210.75 = 633,210.75/x
  3. Step 3: Cross multiply
    403,615.13x = 633,210.75 × 633,210.75
  4. Step 4: Simplify right side
    403,615.13x = 400,955,853,915.56
  5. Step 5: Solve for x
    x = 400,955,853,915.56/403,615.13
  6. Step 6: Final answer
    x = 993,411.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.