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Finding the Third Proportional to 353,139 and 772,297

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Solution

The third proportional to 353,139 and 772,297 is: 1,688,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,139 : 772,297 = 772,297 : x
  2. Step 2: Convert to fraction form
    353,139/772,297 = 772,297/x
  3. Step 3: Cross multiply
    353,139x = 772,297 × 772,297
  4. Step 4: Simplify right side
    353,139x = 596,442,656,209
  5. Step 5: Solve for x
    x = 596,442,656,209/353,139
  6. Step 6: Final answer
    x = 1,688,974.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.