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Finding the Third Proportional to 253,575 and 535,446

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Solution

The third proportional to 253,575 and 535,446 is: 1,130,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,575 : 535,446 = 535,446 : x
  2. Step 2: Convert to fraction form
    253,575/535,446 = 535,446/x
  3. Step 3: Cross multiply
    253,575x = 535,446 × 535,446
  4. Step 4: Simplify right side
    253,575x = 286,702,418,916
  5. Step 5: Solve for x
    x = 286,702,418,916/253,575
  6. Step 6: Final answer
    x = 1,130,641.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.