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Finding the Third Proportional to 309,905 and 478,873.50

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Solution

The third proportional to 309,905 and 478,873.50 is: 739,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,905 : 478,873.50 = 478,873.50 : x
  2. Step 2: Convert to fraction form
    309,905/478,873.50 = 478,873.50/x
  3. Step 3: Cross multiply
    309,905x = 478,873.50 × 478,873.50
  4. Step 4: Simplify right side
    309,905x = 229,319,829,002.25
  5. Step 5: Solve for x
    x = 229,319,829,002.25/309,905
  6. Step 6: Final answer
    x = 739,968.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.