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Finding the Third Proportional to 295,592 and 633,184

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Solution

The third proportional to 295,592 and 633,184 is: 1,356,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,592 : 633,184 = 633,184 : x
  2. Step 2: Convert to fraction form
    295,592/633,184 = 633,184/x
  3. Step 3: Cross multiply
    295,592x = 633,184 × 633,184
  4. Step 4: Simplify right side
    295,592x = 400,921,977,856
  5. Step 5: Solve for x
    x = 400,921,977,856/295,592
  6. Step 6: Final answer
    x = 1,356,335.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.