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Finding the Third Proportional to 574,510 and 772,826

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Solution

The third proportional to 574,510 and 772,826 is: 1,039,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,510 : 772,826 = 772,826 : x
  2. Step 2: Convert to fraction form
    574,510/772,826 = 772,826/x
  3. Step 3: Cross multiply
    574,510x = 772,826 × 772,826
  4. Step 4: Simplify right side
    574,510x = 597,260,026,276
  5. Step 5: Solve for x
    x = 597,260,026,276/574,510
  6. Step 6: Final answer
    x = 1,039,599.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.