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Finding the Third Proportional to 403,574 and 565,598

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Solution

The third proportional to 403,574 and 565,598 is: 792,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,574 : 565,598 = 565,598 : x
  2. Step 2: Convert to fraction form
    403,574/565,598 = 565,598/x
  3. Step 3: Cross multiply
    403,574x = 565,598 × 565,598
  4. Step 4: Simplify right side
    403,574x = 319,901,097,604
  5. Step 5: Solve for x
    x = 319,901,097,604/403,574
  6. Step 6: Final answer
    x = 792,670.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.