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Finding the Third Proportional to 460,692 and 710,718

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Solution

The third proportional to 460,692 and 710,718 is: 1,096,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,692 : 710,718 = 710,718 : x
  2. Step 2: Convert to fraction form
    460,692/710,718 = 710,718/x
  3. Step 3: Cross multiply
    460,692x = 710,718 × 710,718
  4. Step 4: Simplify right side
    460,692x = 505,120,075,524
  5. Step 5: Solve for x
    x = 505,120,075,524/460,692
  6. Step 6: Final answer
    x = 1,096,437.70

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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.