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Finding the Third Proportional to 286,324 and 610,565

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Solution

The third proportional to 286,324 and 610,565 is: 1,301,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,324 : 610,565 = 610,565 : x
  2. Step 2: Convert to fraction form
    286,324/610,565 = 610,565/x
  3. Step 3: Cross multiply
    286,324x = 610,565 × 610,565
  4. Step 4: Simplify right side
    286,324x = 372,789,619,225
  5. Step 5: Solve for x
    x = 372,789,619,225/286,324
  6. Step 6: Final answer
    x = 1,301,985.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.