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Finding the Third Proportional to 486,253.13 and 713,603.25

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Solution

The third proportional to 486,253.13 and 713,603.25 is: 1,047,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,253.13 : 713,603.25 = 713,603.25 : x
  2. Step 2: Convert to fraction form
    486,253.13/713,603.25 = 713,603.25/x
  3. Step 3: Cross multiply
    486,253.13x = 713,603.25 × 713,603.25
  4. Step 4: Simplify right side
    486,253.13x = 509,229,598,410.56
  5. Step 5: Solve for x
    x = 509,229,598,410.56/486,253.13
  6. Step 6: Final answer
    x = 1,047,252.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.