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Finding the Third Proportional to 215,762 and 458,740

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Solution

The third proportional to 215,762 and 458,740 is: 975,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,762 : 458,740 = 458,740 : x
  2. Step 2: Convert to fraction form
    215,762/458,740 = 458,740/x
  3. Step 3: Cross multiply
    215,762x = 458,740 × 458,740
  4. Step 4: Simplify right side
    215,762x = 210,442,387,600
  5. Step 5: Solve for x
    x = 210,442,387,600/215,762
  6. Step 6: Final answer
    x = 975,345.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.