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Finding the Third Proportional to 460,404 and 710,289

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Solution

The third proportional to 460,404 and 710,289 is: 1,095,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,404 : 710,289 = 710,289 : x
  2. Step 2: Convert to fraction form
    460,404/710,289 = 710,289/x
  3. Step 3: Cross multiply
    460,404x = 710,289 × 710,289
  4. Step 4: Simplify right side
    460,404x = 504,510,463,521
  5. Step 5: Solve for x
    x = 504,510,463,521/460,404
  6. Step 6: Final answer
    x = 1,095,799.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.