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Finding the Third Proportional to 407,875.50 and 883,548

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Solution

The third proportional to 407,875.50 and 883,548 is: 1,913,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,875.50 : 883,548 = 883,548 : x
  2. Step 2: Convert to fraction form
    407,875.50/883,548 = 883,548/x
  3. Step 3: Cross multiply
    407,875.50x = 883,548 × 883,548
  4. Step 4: Simplify right side
    407,875.50x = 780,657,068,304
  5. Step 5: Solve for x
    x = 780,657,068,304/407,875.50
  6. Step 6: Final answer
    x = 1,913,959.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.