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Finding the Third Proportional to 260,816 and 553,618

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Solution

The third proportional to 260,816 and 553,618 is: 1,175,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,816 : 553,618 = 553,618 : x
  2. Step 2: Convert to fraction form
    260,816/553,618 = 553,618/x
  3. Step 3: Cross multiply
    260,816x = 553,618 × 553,618
  4. Step 4: Simplify right side
    260,816x = 306,492,889,924
  5. Step 5: Solve for x
    x = 306,492,889,924/260,816
  6. Step 6: Final answer
    x = 1,175,130.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.