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Finding the Third Proportional to 460,740 and 697,550

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Solution

The third proportional to 460,740 and 697,550 is: 1,056,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,740 : 697,550 = 697,550 : x
  2. Step 2: Convert to fraction form
    460,740/697,550 = 697,550/x
  3. Step 3: Cross multiply
    460,740x = 697,550 × 697,550
  4. Step 4: Simplify right side
    460,740x = 486,576,002,500
  5. Step 5: Solve for x
    x = 486,576,002,500/460,740
  6. Step 6: Final answer
    x = 1,056,075.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.