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Finding the Third Proportional to 460,686 and 710,709

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Solution

The third proportional to 460,686 and 710,709 is: 1,096,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,686 : 710,709 = 710,709 : x
  2. Step 2: Convert to fraction form
    460,686/710,709 = 710,709/x
  3. Step 3: Cross multiply
    460,686x = 710,709 × 710,709
  4. Step 4: Simplify right side
    460,686x = 505,107,282,681
  5. Step 5: Solve for x
    x = 505,107,282,681/460,686
  6. Step 6: Final answer
    x = 1,096,424.21

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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.