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Finding the Third Proportional to 493,943 and 785,492

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Solution

The third proportional to 493,943 and 785,492 is: 1,249,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,943 : 785,492 = 785,492 : x
  2. Step 2: Convert to fraction form
    493,943/785,492 = 785,492/x
  3. Step 3: Cross multiply
    493,943x = 785,492 × 785,492
  4. Step 4: Simplify right side
    493,943x = 616,997,682,064
  5. Step 5: Solve for x
    x = 616,997,682,064/493,943
  6. Step 6: Final answer
    x = 1,249,127.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.