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Finding the Third Proportional to 604,088 and 846,796

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Solution

The third proportional to 604,088 and 846,796 is: 1,187,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,088 : 846,796 = 846,796 : x
  2. Step 2: Convert to fraction form
    604,088/846,796 = 846,796/x
  3. Step 3: Cross multiply
    604,088x = 846,796 × 846,796
  4. Step 4: Simplify right side
    604,088x = 717,063,465,616
  5. Step 5: Solve for x
    x = 717,063,465,616/604,088
  6. Step 6: Final answer
    x = 1,187,018.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.