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Finding the Third Proportional to 460,088 and 704,696

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Solution

The third proportional to 460,088 and 704,696 is: 1,079,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,088 : 704,696 = 704,696 : x
  2. Step 2: Convert to fraction form
    460,088/704,696 = 704,696/x
  3. Step 3: Cross multiply
    460,088x = 704,696 × 704,696
  4. Step 4: Simplify right side
    460,088x = 496,596,452,416
  5. Step 5: Solve for x
    x = 496,596,452,416/460,088
  6. Step 6: Final answer
    x = 1,079,351.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.