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Finding the Third Proportional to 295,552 and 612,128

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Solution

The third proportional to 295,552 and 612,128 is: 1,267,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,552 : 612,128 = 612,128 : x
  2. Step 2: Convert to fraction form
    295,552/612,128 = 612,128/x
  3. Step 3: Cross multiply
    295,552x = 612,128 × 612,128
  4. Step 4: Simplify right side
    295,552x = 374,700,688,384
  5. Step 5: Solve for x
    x = 374,700,688,384/295,552
  6. Step 6: Final answer
    x = 1,267,799.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.