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Finding the Third Proportional to 357,068.25 and 484,396.88

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Solution

The third proportional to 357,068.25 and 484,396.88 is: 657,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,068.25 : 484,396.88 = 484,396.88 : x
  2. Step 2: Convert to fraction form
    357,068.25/484,396.88 = 484,396.88/x
  3. Step 3: Cross multiply
    357,068.25x = 484,396.88 × 484,396.88
  4. Step 4: Simplify right side
    357,068.25x = 234,640,332,509.77
  5. Step 5: Solve for x
    x = 234,640,332,509.77/357,068.25
  6. Step 6: Final answer
    x = 657,130.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.