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Finding the Third Proportional to 526,639 and 794,618

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Solution

The third proportional to 526,639 and 794,618 is: 1,198,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,639 : 794,618 = 794,618 : x
  2. Step 2: Convert to fraction form
    526,639/794,618 = 794,618/x
  3. Step 3: Cross multiply
    526,639x = 794,618 × 794,618
  4. Step 4: Simplify right side
    526,639x = 631,417,765,924
  5. Step 5: Solve for x
    x = 631,417,765,924/526,639
  6. Step 6: Final answer
    x = 1,198,957.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.