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Finding the Third Proportional to 410,058 and 887,509.50

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Solution

The third proportional to 410,058 and 887,509.50 is: 1,920,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,058 : 887,509.50 = 887,509.50 : x
  2. Step 2: Convert to fraction form
    410,058/887,509.50 = 887,509.50/x
  3. Step 3: Cross multiply
    410,058x = 887,509.50 × 887,509.50
  4. Step 4: Simplify right side
    410,058x = 787,673,112,590.25
  5. Step 5: Solve for x
    x = 787,673,112,590.25/410,058
  6. Step 6: Final answer
    x = 1,920,882.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.