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Finding the Third Proportional to 336,386 and 560,618

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Solution

The third proportional to 336,386 and 560,618 is: 934,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,386 : 560,618 = 560,618 : x
  2. Step 2: Convert to fraction form
    336,386/560,618 = 560,618/x
  3. Step 3: Cross multiply
    336,386x = 560,618 × 560,618
  4. Step 4: Simplify right side
    336,386x = 314,292,541,924
  5. Step 5: Solve for x
    x = 314,292,541,924/336,386
  6. Step 6: Final answer
    x = 934,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.