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Finding the Third Proportional to 382,264.75 and 607,298.13

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Solution

The third proportional to 382,264.75 and 607,298.13 is: 964,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,264.75 : 607,298.13 = 607,298.13 : x
  2. Step 2: Convert to fraction form
    382,264.75/607,298.13 = 607,298.13/x
  3. Step 3: Cross multiply
    382,264.75x = 607,298.13 × 607,298.13
  4. Step 4: Simplify right side
    382,264.75x = 368,811,012,628.52
  5. Step 5: Solve for x
    x = 368,811,012,628.52/382,264.75
  6. Step 6: Final answer
    x = 964,805.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.