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Finding the Third Proportional to 296,210 and 458,787

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Solution

The third proportional to 296,210 and 458,787 is: 710,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,210 : 458,787 = 458,787 : x
  2. Step 2: Convert to fraction form
    296,210/458,787 = 458,787/x
  3. Step 3: Cross multiply
    296,210x = 458,787 × 458,787
  4. Step 4: Simplify right side
    296,210x = 210,485,511,369
  5. Step 5: Solve for x
    x = 210,485,511,369/296,210
  6. Step 6: Final answer
    x = 710,595.56

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Why These Related Problems?

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