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Finding the Third Proportional to 306,747 and 473,800.50

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Solution

The third proportional to 306,747 and 473,800.50 is: 731,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747 : 473,800.50 = 473,800.50 : x
  2. Step 2: Convert to fraction form
    306,747/473,800.50 = 473,800.50/x
  3. Step 3: Cross multiply
    306,747x = 473,800.50 × 473,800.50
  4. Step 4: Simplify right side
    306,747x = 224,486,913,800.25
  5. Step 5: Solve for x
    x = 224,486,913,800.25/306,747
  6. Step 6: Final answer
    x = 731,830.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.