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Finding the Third Proportional to 455,725 and 997,259

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Solution

The third proportional to 455,725 and 997,259 is: 2,182,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,725 : 997,259 = 997,259 : x
  2. Step 2: Convert to fraction form
    455,725/997,259 = 997,259/x
  3. Step 3: Cross multiply
    455,725x = 997,259 × 997,259
  4. Step 4: Simplify right side
    455,725x = 994,525,513,081
  5. Step 5: Solve for x
    x = 994,525,513,081/455,725
  6. Step 6: Final answer
    x = 2,182,293.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.