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Finding the Third Proportional to 294,502.50 and 472,505.06

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Solution

The third proportional to 294,502.50 and 472,505.06 is: 758,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,502.50 : 472,505.06 = 472,505.06 : x
  2. Step 2: Convert to fraction form
    294,502.50/472,505.06 = 472,505.06/x
  3. Step 3: Cross multiply
    294,502.50x = 472,505.06 × 472,505.06
  4. Step 4: Simplify right side
    294,502.50x = 223,261,034,088.13
  5. Step 5: Solve for x
    x = 223,261,034,088.13/294,502.50
  6. Step 6: Final answer
    x = 758,095.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.