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Finding the Third Proportional to 460,290 and 706,476

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Solution

The third proportional to 460,290 and 706,476 is: 1,084,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,290 : 706,476 = 706,476 : x
  2. Step 2: Convert to fraction form
    460,290/706,476 = 706,476/x
  3. Step 3: Cross multiply
    460,290x = 706,476 × 706,476
  4. Step 4: Simplify right side
    460,290x = 499,108,338,576
  5. Step 5: Solve for x
    x = 499,108,338,576/460,290
  6. Step 6: Final answer
    x = 1,084,334.53

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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.