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Finding the Third Proportional to 542,664 and 798,282

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Solution

The third proportional to 542,664 and 798,282 is: 1,174,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,664 : 798,282 = 798,282 : x
  2. Step 2: Convert to fraction form
    542,664/798,282 = 798,282/x
  3. Step 3: Cross multiply
    542,664x = 798,282 × 798,282
  4. Step 4: Simplify right side
    542,664x = 637,254,151,524
  5. Step 5: Solve for x
    x = 637,254,151,524/542,664
  6. Step 6: Final answer
    x = 1,174,307.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.