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Finding the Third Proportional to 322,308 and 708,948

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Solution

The third proportional to 322,308 and 708,948 is: 1,559,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,308 : 708,948 = 708,948 : x
  2. Step 2: Convert to fraction form
    322,308/708,948 = 708,948/x
  3. Step 3: Cross multiply
    322,308x = 708,948 × 708,948
  4. Step 4: Simplify right side
    322,308x = 502,607,266,704
  5. Step 5: Solve for x
    x = 502,607,266,704/322,308
  6. Step 6: Final answer
    x = 1,559,400.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.