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Finding the Third Proportional to 460,679 and 710,700

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Solution

The third proportional to 460,679 and 710,700 is: 1,096,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,679 : 710,700 = 710,700 : x
  2. Step 2: Convert to fraction form
    460,679/710,700 = 710,700/x
  3. Step 3: Cross multiply
    460,679x = 710,700 × 710,700
  4. Step 4: Simplify right side
    460,679x = 505,094,490,000
  5. Step 5: Solve for x
    x = 505,094,490,000/460,679
  6. Step 6: Final answer
    x = 1,096,413.10

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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.