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Finding the Third Proportional to 349,428 and 758,184

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Solution

The third proportional to 349,428 and 758,184 is: 1,645,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,428 : 758,184 = 758,184 : x
  2. Step 2: Convert to fraction form
    349,428/758,184 = 758,184/x
  3. Step 3: Cross multiply
    349,428x = 758,184 × 758,184
  4. Step 4: Simplify right side
    349,428x = 574,842,977,856
  5. Step 5: Solve for x
    x = 574,842,977,856/349,428
  6. Step 6: Final answer
    x = 1,645,097.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.