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Finding the Third Proportional to 245,532 and 371,618

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Solution

The third proportional to 245,532 and 371,618 is: 562,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,532 : 371,618 = 371,618 : x
  2. Step 2: Convert to fraction form
    245,532/371,618 = 371,618/x
  3. Step 3: Cross multiply
    245,532x = 371,618 × 371,618
  4. Step 4: Simplify right side
    245,532x = 138,099,937,924
  5. Step 5: Solve for x
    x = 138,099,937,924/245,532
  6. Step 6: Final answer
    x = 562,451.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.