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Finding the Third Proportional to 310,969.13 and 653,275.13

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Solution

The third proportional to 310,969.13 and 653,275.13 is: 1,372,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,969.13 : 653,275.13 = 653,275.13 : x
  2. Step 2: Convert to fraction form
    310,969.13/653,275.13 = 653,275.13/x
  3. Step 3: Cross multiply
    310,969.13x = 653,275.13 × 653,275.13
  4. Step 4: Simplify right side
    310,969.13x = 426,768,388,943.77
  5. Step 5: Solve for x
    x = 426,768,388,943.77/310,969.13
  6. Step 6: Final answer
    x = 1,372,381.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.