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Finding the Third Proportional to 304,459.50 and 463,870.50

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Solution

The third proportional to 304,459.50 and 463,870.50 is: 706,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,459.50 : 463,870.50 = 463,870.50 : x
  2. Step 2: Convert to fraction form
    304,459.50/463,870.50 = 463,870.50/x
  3. Step 3: Cross multiply
    304,459.50x = 463,870.50 × 463,870.50
  4. Step 4: Simplify right side
    304,459.50x = 215,175,840,770.25
  5. Step 5: Solve for x
    x = 215,175,840,770.25/304,459.50
  6. Step 6: Final answer
    x = 706,747.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.