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Finding the Third Proportional to 434,308 and 896,552

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Solution

The third proportional to 434,308 and 896,552 is: 1,850,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,308 : 896,552 = 896,552 : x
  2. Step 2: Convert to fraction form
    434,308/896,552 = 896,552/x
  3. Step 3: Cross multiply
    434,308x = 896,552 × 896,552
  4. Step 4: Simplify right side
    434,308x = 803,805,488,704
  5. Step 5: Solve for x
    x = 803,805,488,704/434,308
  6. Step 6: Final answer
    x = 1,850,772.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.