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Finding the Third Proportional to 304,178.50 and 473,459.50

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Solution

The third proportional to 304,178.50 and 473,459.50 is: 736,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,178.50 : 473,459.50 = 473,459.50 : x
  2. Step 2: Convert to fraction form
    304,178.50/473,459.50 = 473,459.50/x
  3. Step 3: Cross multiply
    304,178.50x = 473,459.50 × 473,459.50
  4. Step 4: Simplify right side
    304,178.50x = 224,163,898,140.25
  5. Step 5: Solve for x
    x = 224,163,898,140.25/304,178.50
  6. Step 6: Final answer
    x = 736,948.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.