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Finding the Third Proportional to 602,598.66 and 817,482.38

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Solution

The third proportional to 602,598.66 and 817,482.38 is: 1,108,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,598.66 : 817,482.38 = 817,482.38 : x
  2. Step 2: Convert to fraction form
    602,598.66/817,482.38 = 817,482.38/x
  3. Step 3: Cross multiply
    602,598.66x = 817,482.38 × 817,482.38
  4. Step 4: Simplify right side
    602,598.66x = 668,277,433,435.64
  5. Step 5: Solve for x
    x = 668,277,433,435.64/602,598.66
  6. Step 6: Final answer
    x = 1,108,992.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.