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Finding the Third Proportional to 386,730 and 597,595.50

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Solution

The third proportional to 386,730 and 597,595.50 is: 923,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,730 : 597,595.50 = 597,595.50 : x
  2. Step 2: Convert to fraction form
    386,730/597,595.50 = 597,595.50/x
  3. Step 3: Cross multiply
    386,730x = 597,595.50 × 597,595.50
  4. Step 4: Simplify right side
    386,730x = 357,120,381,620.25
  5. Step 5: Solve for x
    x = 357,120,381,620.25/386,730
  6. Step 6: Final answer
    x = 923,435.94

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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.