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Finding the Third Proportional to 460,452 and 710,362

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Solution

The third proportional to 460,452 and 710,362 is: 1,095,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,452 : 710,362 = 710,362 : x
  2. Step 2: Convert to fraction form
    460,452/710,362 = 710,362/x
  3. Step 3: Cross multiply
    460,452x = 710,362 × 710,362
  4. Step 4: Simplify right side
    460,452x = 504,614,171,044
  5. Step 5: Solve for x
    x = 504,614,171,044/460,452
  6. Step 6: Final answer
    x = 1,095,910.48

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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.