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Finding the Third Proportional to 386,312 and 567,904

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Solution

The third proportional to 386,312 and 567,904 is: 834,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,312 : 567,904 = 567,904 : x
  2. Step 2: Convert to fraction form
    386,312/567,904 = 567,904/x
  3. Step 3: Cross multiply
    386,312x = 567,904 × 567,904
  4. Step 4: Simplify right side
    386,312x = 322,514,953,216
  5. Step 5: Solve for x
    x = 322,514,953,216/386,312
  6. Step 6: Final answer
    x = 834,856.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.