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Finding the Third Proportional to 402,826.50 and 877,527

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Solution

The third proportional to 402,826.50 and 877,527 is: 1,911,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,826.50 : 877,527 = 877,527 : x
  2. Step 2: Convert to fraction form
    402,826.50/877,527 = 877,527/x
  3. Step 3: Cross multiply
    402,826.50x = 877,527 × 877,527
  4. Step 4: Simplify right side
    402,826.50x = 770,053,635,729
  5. Step 5: Solve for x
    x = 770,053,635,729/402,826.50
  6. Step 6: Final answer
    x = 1,911,626.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.