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Finding the Third Proportional to 353,405 and 736,618

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Solution

The third proportional to 353,405 and 736,618 is: 1,535,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,405 : 736,618 = 736,618 : x
  2. Step 2: Convert to fraction form
    353,405/736,618 = 736,618/x
  3. Step 3: Cross multiply
    353,405x = 736,618 × 736,618
  4. Step 4: Simplify right side
    353,405x = 542,606,077,924
  5. Step 5: Solve for x
    x = 542,606,077,924/353,405
  6. Step 6: Final answer
    x = 1,535,366.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.