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Finding the Third Proportional to 403,196 and 595,598

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Solution

The third proportional to 403,196 and 595,598 is: 879,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,196 : 595,598 = 595,598 : x
  2. Step 2: Convert to fraction form
    403,196/595,598 = 595,598/x
  3. Step 3: Cross multiply
    403,196x = 595,598 × 595,598
  4. Step 4: Simplify right side
    403,196x = 354,736,977,604
  5. Step 5: Solve for x
    x = 354,736,977,604/403,196
  6. Step 6: Final answer
    x = 879,812.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.