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Finding the Third Proportional to 460,671 and 710,688

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Solution

The third proportional to 460,671 and 710,688 is: 1,096,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,671 : 710,688 = 710,688 : x
  2. Step 2: Convert to fraction form
    460,671/710,688 = 710,688/x
  3. Step 3: Cross multiply
    460,671x = 710,688 × 710,688
  4. Step 4: Simplify right side
    460,671x = 505,077,433,344
  5. Step 5: Solve for x
    x = 505,077,433,344/460,671
  6. Step 6: Final answer
    x = 1,096,395.11

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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.