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Finding the Third Proportional to 246,746 and 528,532

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Solution

The third proportional to 246,746 and 528,532 is: 1,132,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,746 : 528,532 = 528,532 : x
  2. Step 2: Convert to fraction form
    246,746/528,532 = 528,532/x
  3. Step 3: Cross multiply
    246,746x = 528,532 × 528,532
  4. Step 4: Simplify right side
    246,746x = 279,346,075,024
  5. Step 5: Solve for x
    x = 279,346,075,024/246,746
  6. Step 6: Final answer
    x = 1,132,119.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.