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Finding the Third Proportional to 315,033 and 474,808

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Solution

The third proportional to 315,033 and 474,808 is: 715,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,033 : 474,808 = 474,808 : x
  2. Step 2: Convert to fraction form
    315,033/474,808 = 474,808/x
  3. Step 3: Cross multiply
    315,033x = 474,808 × 474,808
  4. Step 4: Simplify right side
    315,033x = 225,442,636,864
  5. Step 5: Solve for x
    x = 225,442,636,864/315,033
  6. Step 6: Final answer
    x = 715,615.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.