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Finding the Third Proportional to 263,453 and 390,607

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Solution

The third proportional to 263,453 and 390,607 is: 579,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,453 : 390,607 = 390,607 : x
  2. Step 2: Convert to fraction form
    263,453/390,607 = 390,607/x
  3. Step 3: Cross multiply
    263,453x = 390,607 × 390,607
  4. Step 4: Simplify right side
    263,453x = 152,573,828,449
  5. Step 5: Solve for x
    x = 152,573,828,449/263,453
  6. Step 6: Final answer
    x = 579,131.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.