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Finding the Third Proportional to 360,106 and 785,008

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Solution

The third proportional to 360,106 and 785,008 is: 1,711,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,106 : 785,008 = 785,008 : x
  2. Step 2: Convert to fraction form
    360,106/785,008 = 785,008/x
  3. Step 3: Cross multiply
    360,106x = 785,008 × 785,008
  4. Step 4: Simplify right side
    360,106x = 616,237,560,064
  5. Step 5: Solve for x
    x = 616,237,560,064/360,106
  6. Step 6: Final answer
    x = 1,711,267.13

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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.