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Finding the Third Proportional to 310,345.17 and 474,539.13

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Solution

The third proportional to 310,345.17 and 474,539.13 is: 725,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,345.17 : 474,539.13 = 474,539.13 : x
  2. Step 2: Convert to fraction form
    310,345.17/474,539.13 = 474,539.13/x
  3. Step 3: Cross multiply
    310,345.17x = 474,539.13 × 474,539.13
  4. Step 4: Simplify right side
    310,345.17x = 225,187,388,570.44
  5. Step 5: Solve for x
    x = 225,187,388,570.44/310,345.17
  6. Step 6: Final answer
    x = 725,603.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.