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Finding the Third Proportional to 460,677 and 710,697

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Solution

The third proportional to 460,677 and 710,697 is: 1,096,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,677 : 710,697 = 710,697 : x
  2. Step 2: Convert to fraction form
    460,677/710,697 = 710,697/x
  3. Step 3: Cross multiply
    460,677x = 710,697 × 710,697
  4. Step 4: Simplify right side
    460,677x = 505,090,225,809
  5. Step 5: Solve for x
    x = 505,090,225,809/460,677
  6. Step 6: Final answer
    x = 1,096,408.60

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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.