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Finding the Third Proportional to 316,952 and 703,888

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Solution

The third proportional to 316,952 and 703,888 is: 1,563,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,952 : 703,888 = 703,888 : x
  2. Step 2: Convert to fraction form
    316,952/703,888 = 703,888/x
  3. Step 3: Cross multiply
    316,952x = 703,888 × 703,888
  4. Step 4: Simplify right side
    316,952x = 495,458,316,544
  5. Step 5: Solve for x
    x = 495,458,316,544/316,952
  6. Step 6: Final answer
    x = 1,563,196.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.