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Finding the Third Proportional to 584,668 and 874,618

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Solution

The third proportional to 584,668 and 874,618 is: 1,308,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,668 : 874,618 = 874,618 : x
  2. Step 2: Convert to fraction form
    584,668/874,618 = 874,618/x
  3. Step 3: Cross multiply
    584,668x = 874,618 × 874,618
  4. Step 4: Simplify right side
    584,668x = 764,956,645,924
  5. Step 5: Solve for x
    x = 764,956,645,924/584,668
  6. Step 6: Final answer
    x = 1,308,360.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.