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Finding the Third Proportional to 460,340 and 706,548

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Solution

The third proportional to 460,340 and 706,548 is: 1,084,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,340 : 706,548 = 706,548 : x
  2. Step 2: Convert to fraction form
    460,340/706,548 = 706,548/x
  3. Step 3: Cross multiply
    460,340x = 706,548 × 706,548
  4. Step 4: Simplify right side
    460,340x = 499,210,076,304
  5. Step 5: Solve for x
    x = 499,210,076,304/460,340
  6. Step 6: Final answer
    x = 1,084,437.76

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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.