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Finding the Third Proportional to 480,423 and 695,812.50

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Solution

The third proportional to 480,423 and 695,812.50 is: 1,007,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,423 : 695,812.50 = 695,812.50 : x
  2. Step 2: Convert to fraction form
    480,423/695,812.50 = 695,812.50/x
  3. Step 3: Cross multiply
    480,423x = 695,812.50 × 695,812.50
  4. Step 4: Simplify right side
    480,423x = 484,155,035,156.25
  5. Step 5: Solve for x
    x = 484,155,035,156.25/480,423
  6. Step 6: Final answer
    x = 1,007,768.23

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.