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Finding the Third Proportional to 458,842.50 and 1,006,326

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Solution

The third proportional to 458,842.50 and 1,006,326 is: 2,207,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,842.50 : 1,006,326 = 1,006,326 : x
  2. Step 2: Convert to fraction form
    458,842.50/1,006,326 = 1,006,326/x
  3. Step 3: Cross multiply
    458,842.50x = 1,006,326 × 1,006,326
  4. Step 4: Simplify right side
    458,842.50x = 1,012,692,018,276
  5. Step 5: Solve for x
    x = 1,012,692,018,276/458,842.50
  6. Step 6: Final answer
    x = 2,207,058.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.