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Finding the Third Proportional to 460,412 and 710,301

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Solution

The third proportional to 460,412 and 710,301 is: 1,095,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,412 : 710,301 = 710,301 : x
  2. Step 2: Convert to fraction form
    460,412/710,301 = 710,301/x
  3. Step 3: Cross multiply
    460,412x = 710,301 × 710,301
  4. Step 4: Simplify right side
    460,412x = 504,527,510,601
  5. Step 5: Solve for x
    x = 504,527,510,601/460,412
  6. Step 6: Final answer
    x = 1,095,817.46

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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.