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Finding the Third Proportional to 316,260 and 690,888

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Solution

The third proportional to 316,260 and 690,888 is: 1,509,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,260 : 690,888 = 690,888 : x
  2. Step 2: Convert to fraction form
    316,260/690,888 = 690,888/x
  3. Step 3: Cross multiply
    316,260x = 690,888 × 690,888
  4. Step 4: Simplify right side
    316,260x = 477,326,228,544
  5. Step 5: Solve for x
    x = 477,326,228,544/316,260
  6. Step 6: Final answer
    x = 1,509,284.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.