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Finding the Third Proportional to 349,110 and 498,308.06

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Solution

The third proportional to 349,110 and 498,308.06 is: 711,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,110 : 498,308.06 = 498,308.06 : x
  2. Step 2: Convert to fraction form
    349,110/498,308.06 = 498,308.06/x
  3. Step 3: Cross multiply
    349,110x = 498,308.06 × 498,308.06
  4. Step 4: Simplify right side
    349,110x = 248,310,925,152.50
  5. Step 5: Solve for x
    x = 248,310,925,152.50/349,110
  6. Step 6: Final answer
    x = 711,268.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.