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Finding the Third Proportional to 310,310 and 474,490.50

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Solution

The third proportional to 310,310 and 474,490.50 is: 725,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310 : 474,490.50 = 474,490.50 : x
  2. Step 2: Convert to fraction form
    310,310/474,490.50 = 474,490.50/x
  3. Step 3: Cross multiply
    310,310x = 474,490.50 × 474,490.50
  4. Step 4: Simplify right side
    310,310x = 225,141,234,590.25
  5. Step 5: Solve for x
    x = 225,141,234,590.25/310,310
  6. Step 6: Final answer
    x = 725,536.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.