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Finding the Third Proportional to 284,547.94 and 619,287.19

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Solution

The third proportional to 284,547.94 and 619,287.19 is: 1,347,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,547.94 : 619,287.19 = 619,287.19 : x
  2. Step 2: Convert to fraction form
    284,547.94/619,287.19 = 619,287.19/x
  3. Step 3: Cross multiply
    284,547.94x = 619,287.19 × 619,287.19
  4. Step 4: Simplify right side
    284,547.94x = 383,516,620,601.66
  5. Step 5: Solve for x
    x = 383,516,620,601.66/284,547.94
  6. Step 6: Final answer
    x = 1,347,810.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.