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Finding the Third Proportional to 366,823.69 and 563,904.28

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Solution

The third proportional to 366,823.69 and 563,904.28 is: 866,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,823.69 : 563,904.28 = 563,904.28 : x
  2. Step 2: Convert to fraction form
    366,823.69/563,904.28 = 563,904.28/x
  3. Step 3: Cross multiply
    366,823.69x = 563,904.28 × 563,904.28
  4. Step 4: Simplify right side
    366,823.69x = 317,988,038,412.08
  5. Step 5: Solve for x
    x = 317,988,038,412.08/366,823.69
  6. Step 6: Final answer
    x = 866,868.88

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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.