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Finding the Third Proportional to 464,856 and 718,308

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Solution

The third proportional to 464,856 and 718,308 is: 1,109,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,856 : 718,308 = 718,308 : x
  2. Step 2: Convert to fraction form
    464,856/718,308 = 718,308/x
  3. Step 3: Cross multiply
    464,856x = 718,308 × 718,308
  4. Step 4: Simplify right side
    464,856x = 515,966,382,864
  5. Step 5: Solve for x
    x = 515,966,382,864/464,856
  6. Step 6: Final answer
    x = 1,109,948.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.