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Finding the Third Proportional to 358,184 and 772,324

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Solution

The third proportional to 358,184 and 772,324 is: 1,665,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,184 : 772,324 = 772,324 : x
  2. Step 2: Convert to fraction form
    358,184/772,324 = 772,324/x
  3. Step 3: Cross multiply
    358,184x = 772,324 × 772,324
  4. Step 4: Simplify right side
    358,184x = 596,484,360,976
  5. Step 5: Solve for x
    x = 596,484,360,976/358,184
  6. Step 6: Final answer
    x = 1,665,301.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.