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Finding the Third Proportional to 315,033 and 484,213.50

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Solution

The third proportional to 315,033 and 484,213.50 is: 744,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,033 : 484,213.50 = 484,213.50 : x
  2. Step 2: Convert to fraction form
    315,033/484,213.50 = 484,213.50/x
  3. Step 3: Cross multiply
    315,033x = 484,213.50 × 484,213.50
  4. Step 4: Simplify right side
    315,033x = 234,462,713,582.25
  5. Step 5: Solve for x
    x = 234,462,713,582.25/315,033
  6. Step 6: Final answer
    x = 744,248.11

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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.