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Finding the Third Proportional to 306,681 and 478,669.50

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Solution

The third proportional to 306,681 and 478,669.50 is: 747,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,681 : 478,669.50 = 478,669.50 : x
  2. Step 2: Convert to fraction form
    306,681/478,669.50 = 478,669.50/x
  3. Step 3: Cross multiply
    306,681x = 478,669.50 × 478,669.50
  4. Step 4: Simplify right side
    306,681x = 229,124,490,230.25
  5. Step 5: Solve for x
    x = 229,124,490,230.25/306,681
  6. Step 6: Final answer
    x = 747,110.16

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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.