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Finding the Third Proportional to 308,160 and 473,454

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Solution

The third proportional to 308,160 and 473,454 is: 727,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,160 : 473,454 = 473,454 : x
  2. Step 2: Convert to fraction form
    308,160/473,454 = 473,454/x
  3. Step 3: Cross multiply
    308,160x = 473,454 × 473,454
  4. Step 4: Simplify right side
    308,160x = 224,158,690,116
  5. Step 5: Solve for x
    x = 224,158,690,116/308,160
  6. Step 6: Final answer
    x = 727,410.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.