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Finding the Third Proportional to 335,066 and 722,618

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Solution

The third proportional to 335,066 and 722,618 is: 1,558,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,066 : 722,618 = 722,618 : x
  2. Step 2: Convert to fraction form
    335,066/722,618 = 722,618/x
  3. Step 3: Cross multiply
    335,066x = 722,618 × 722,618
  4. Step 4: Simplify right side
    335,066x = 522,176,773,924
  5. Step 5: Solve for x
    x = 522,176,773,924/335,066
  6. Step 6: Final answer
    x = 1,558,429.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.