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Finding the Third Proportional to 426,615.75 and 912,280.50

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Solution

The third proportional to 426,615.75 and 912,280.50 is: 1,950,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,615.75 : 912,280.50 = 912,280.50 : x
  2. Step 2: Convert to fraction form
    426,615.75/912,280.50 = 912,280.50/x
  3. Step 3: Cross multiply
    426,615.75x = 912,280.50 × 912,280.50
  4. Step 4: Simplify right side
    426,615.75x = 832,255,710,680.25
  5. Step 5: Solve for x
    x = 832,255,710,680.25/426,615.75
  6. Step 6: Final answer
    x = 1,950,832.13

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.