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Finding the Third Proportional to 360,507 and 767,598

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Solution

The third proportional to 360,507 and 767,598 is: 1,634,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,507 : 767,598 = 767,598 : x
  2. Step 2: Convert to fraction form
    360,507/767,598 = 767,598/x
  3. Step 3: Cross multiply
    360,507x = 767,598 × 767,598
  4. Step 4: Simplify right side
    360,507x = 589,206,689,604
  5. Step 5: Solve for x
    x = 589,206,689,604/360,507
  6. Step 6: Final answer
    x = 1,634,383.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.