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Finding the Third Proportional to 292,704 and 608,370

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Solution

The third proportional to 292,704 and 608,370 is: 1,264,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,704 : 608,370 = 608,370 : x
  2. Step 2: Convert to fraction form
    292,704/608,370 = 608,370/x
  3. Step 3: Cross multiply
    292,704x = 608,370 × 608,370
  4. Step 4: Simplify right side
    292,704x = 370,114,056,900
  5. Step 5: Solve for x
    x = 370,114,056,900/292,704
  6. Step 6: Final answer
    x = 1,264,465.32

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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.