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Finding the Third Proportional to 423,522 and 621,158.63

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Solution

The third proportional to 423,522 and 621,158.63 is: 911,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,522 : 621,158.63 = 621,158.63 : x
  2. Step 2: Convert to fraction form
    423,522/621,158.63 = 621,158.63/x
  3. Step 3: Cross multiply
    423,522x = 621,158.63 × 621,158.63
  4. Step 4: Simplify right side
    423,522x = 385,838,037,411.89
  5. Step 5: Solve for x
    x = 385,838,037,411.89/423,522
  6. Step 6: Final answer
    x = 911,022.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.