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Finding the Third Proportional to 292,707 and 608,376

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Solution

The third proportional to 292,707 and 608,376 is: 1,264,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,707 : 608,376 = 608,376 : x
  2. Step 2: Convert to fraction form
    292,707/608,376 = 608,376/x
  3. Step 3: Cross multiply
    292,707x = 608,376 × 608,376
  4. Step 4: Simplify right side
    292,707x = 370,121,357,376
  5. Step 5: Solve for x
    x = 370,121,357,376/292,707
  6. Step 6: Final answer
    x = 1,264,477.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.