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Finding the Third Proportional to 360,271.50 and 552,618

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Solution

The third proportional to 360,271.50 and 552,618 is: 847,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,271.50 : 552,618 = 552,618 : x
  2. Step 2: Convert to fraction form
    360,271.50/552,618 = 552,618/x
  3. Step 3: Cross multiply
    360,271.50x = 552,618 × 552,618
  4. Step 4: Simplify right side
    360,271.50x = 305,386,653,924
  5. Step 5: Solve for x
    x = 305,386,653,924/360,271.50
  6. Step 6: Final answer
    x = 847,656.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.