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Finding the Third Proportional to 526,312 and 814,618

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Solution

The third proportional to 526,312 and 814,618 is: 1,260,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,312 : 814,618 = 814,618 : x
  2. Step 2: Convert to fraction form
    526,312/814,618 = 814,618/x
  3. Step 3: Cross multiply
    526,312x = 814,618 × 814,618
  4. Step 4: Simplify right side
    526,312x = 663,602,485,924
  5. Step 5: Solve for x
    x = 663,602,485,924/526,312
  6. Step 6: Final answer
    x = 1,260,853.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.