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Finding the Third Proportional to 460,365 and 697,655.25

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Solution

The third proportional to 460,365 and 697,655.25 is: 1,057,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,365 : 697,655.25 = 697,655.25 : x
  2. Step 2: Convert to fraction form
    460,365/697,655.25 = 697,655.25/x
  3. Step 3: Cross multiply
    460,365x = 697,655.25 × 697,655.25
  4. Step 4: Simplify right side
    460,365x = 486,722,847,852.56
  5. Step 5: Solve for x
    x = 486,722,847,852.56/460,365
  6. Step 6: Final answer
    x = 1,057,254.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.