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Finding the Third Proportional to 249,482 and 383,448

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Solution

The third proportional to 249,482 and 383,448 is: 589,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,482 : 383,448 = 383,448 : x
  2. Step 2: Convert to fraction form
    249,482/383,448 = 383,448/x
  3. Step 3: Cross multiply
    249,482x = 383,448 × 383,448
  4. Step 4: Simplify right side
    249,482x = 147,032,368,704
  5. Step 5: Solve for x
    x = 147,032,368,704/249,482
  6. Step 6: Final answer
    x = 589,350.61

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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.