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Finding the Third Proportional to 574,610 and 772,971

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Solution

The third proportional to 574,610 and 772,971 is: 1,039,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,610 : 772,971 = 772,971 : x
  2. Step 2: Convert to fraction form
    574,610/772,971 = 772,971/x
  3. Step 3: Cross multiply
    574,610x = 772,971 × 772,971
  4. Step 4: Simplify right side
    574,610x = 597,484,166,841
  5. Step 5: Solve for x
    x = 597,484,166,841/574,610
  6. Step 6: Final answer
    x = 1,039,808.16

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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.