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Finding the Third Proportional to 287,253 and 386,410.50

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Solution

The third proportional to 287,253 and 386,410.50 is: 519,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,253 : 386,410.50 = 386,410.50 : x
  2. Step 2: Convert to fraction form
    287,253/386,410.50 = 386,410.50/x
  3. Step 3: Cross multiply
    287,253x = 386,410.50 × 386,410.50
  4. Step 4: Simplify right side
    287,253x = 149,313,074,510.25
  5. Step 5: Solve for x
    x = 149,313,074,510.25/287,253
  6. Step 6: Final answer
    x = 519,796.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.