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Finding the Third Proportional to 466,478 and 742,618

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Solution

The third proportional to 466,478 and 742,618 is: 1,182,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,478 : 742,618 = 742,618 : x
  2. Step 2: Convert to fraction form
    466,478/742,618 = 742,618/x
  3. Step 3: Cross multiply
    466,478x = 742,618 × 742,618
  4. Step 4: Simplify right side
    466,478x = 551,481,493,924
  5. Step 5: Solve for x
    x = 551,481,493,924/466,478
  6. Step 6: Final answer
    x = 1,182,224.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.