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Finding the Third Proportional to 460,776 and 715,152

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Solution

The third proportional to 460,776 and 715,152 is: 1,109,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,776 : 715,152 = 715,152 : x
  2. Step 2: Convert to fraction form
    460,776/715,152 = 715,152/x
  3. Step 3: Cross multiply
    460,776x = 715,152 × 715,152
  4. Step 4: Simplify right side
    460,776x = 511,442,383,104
  5. Step 5: Solve for x
    x = 511,442,383,104/460,776
  6. Step 6: Final answer
    x = 1,109,958.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.