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Finding the Third Proportional to 296,353.13 and 423,482.25

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Solution

The third proportional to 296,353.13 and 423,482.25 is: 605,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,353.13 : 423,482.25 = 423,482.25 : x
  2. Step 2: Convert to fraction form
    296,353.13/423,482.25 = 423,482.25/x
  3. Step 3: Cross multiply
    296,353.13x = 423,482.25 × 423,482.25
  4. Step 4: Simplify right side
    296,353.13x = 179,337,216,065.06
  5. Step 5: Solve for x
    x = 179,337,216,065.06/296,353.13
  6. Step 6: Final answer
    x = 605,147.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.