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Finding the Third Proportional to 463,407 and 716,391

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Solution

The third proportional to 463,407 and 716,391 is: 1,107,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,407 : 716,391 = 716,391 : x
  2. Step 2: Convert to fraction form
    463,407/716,391 = 716,391/x
  3. Step 3: Cross multiply
    463,407x = 716,391 × 716,391
  4. Step 4: Simplify right side
    463,407x = 513,216,064,881
  5. Step 5: Solve for x
    x = 513,216,064,881/463,407
  6. Step 6: Final answer
    x = 1,107,484.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.