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Finding the Third Proportional to 426,829.50 and 643,061.53

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Solution

The third proportional to 426,829.50 and 643,061.53 is: 968,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,829.50 : 643,061.53 = 643,061.53 : x
  2. Step 2: Convert to fraction form
    426,829.50/643,061.53 = 643,061.53/x
  3. Step 3: Cross multiply
    426,829.50x = 643,061.53 × 643,061.53
  4. Step 4: Simplify right side
    426,829.50x = 413,528,132,973.60
  5. Step 5: Solve for x
    x = 413,528,132,973.60/426,829.50
  6. Step 6: Final answer
    x = 968,836.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.