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Finding the Third Proportional to 322,259.63 and 708,870.38

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Solution

The third proportional to 322,259.63 and 708,870.38 is: 1,559,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,259.63 : 708,870.38 = 708,870.38 : x
  2. Step 2: Convert to fraction form
    322,259.63/708,870.38 = 708,870.38/x
  3. Step 3: Cross multiply
    322,259.63x = 708,870.38 × 708,870.38
  4. Step 4: Simplify right side
    322,259.63x = 502,497,208,552.64
  5. Step 5: Solve for x
    x = 502,497,208,552.64/322,259.63
  6. Step 6: Final answer
    x = 1,559,293.10

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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.