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Finding the Third Proportional to 472,584 and 717,618

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Solution

The third proportional to 472,584 and 717,618 is: 1,089,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,584 : 717,618 = 717,618 : x
  2. Step 2: Convert to fraction form
    472,584/717,618 = 717,618/x
  3. Step 3: Cross multiply
    472,584x = 717,618 × 717,618
  4. Step 4: Simplify right side
    472,584x = 514,975,593,924
  5. Step 5: Solve for x
    x = 514,975,593,924/472,584
  6. Step 6: Final answer
    x = 1,089,701.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.