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Finding the Third Proportional to 234,724 and 506,858

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Solution

The third proportional to 234,724 and 506,858 is: 1,094,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,724 : 506,858 = 506,858 : x
  2. Step 2: Convert to fraction form
    234,724/506,858 = 506,858/x
  3. Step 3: Cross multiply
    234,724x = 506,858 × 506,858
  4. Step 4: Simplify right side
    234,724x = 256,905,032,164
  5. Step 5: Solve for x
    x = 256,905,032,164/234,724
  6. Step 6: Final answer
    x = 1,094,498.36

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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.