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Finding the Third Proportional to 234,701.50 and 506,818

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Solution

The third proportional to 234,701.50 and 506,818 is: 1,094,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,701.50 : 506,818 = 506,818 : x
  2. Step 2: Convert to fraction form
    234,701.50/506,818 = 506,818/x
  3. Step 3: Cross multiply
    234,701.50x = 506,818 × 506,818
  4. Step 4: Simplify right side
    234,701.50x = 256,864,485,124
  5. Step 5: Solve for x
    x = 256,864,485,124/234,701.50
  6. Step 6: Final answer
    x = 1,094,430.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.