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Finding the Third Proportional to 442,806.75 and 597,962.25

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Solution

The third proportional to 442,806.75 and 597,962.25 is: 807,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.75 : 597,962.25 = 597,962.25 : x
  2. Step 2: Convert to fraction form
    442,806.75/597,962.25 = 597,962.25/x
  3. Step 3: Cross multiply
    442,806.75x = 597,962.25 × 597,962.25
  4. Step 4: Simplify right side
    442,806.75x = 357,558,852,425.06
  5. Step 5: Solve for x
    x = 357,558,852,425.06/442,806.75
  6. Step 6: Final answer
    x = 807,482.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.