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Finding the Third Proportional to 377,553 and 583,294

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Solution

The third proportional to 377,553 and 583,294 is: 901,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,553 : 583,294 = 583,294 : x
  2. Step 2: Convert to fraction form
    377,553/583,294 = 583,294/x
  3. Step 3: Cross multiply
    377,553x = 583,294 × 583,294
  4. Step 4: Simplify right side
    377,553x = 340,231,890,436
  5. Step 5: Solve for x
    x = 340,231,890,436/377,553
  6. Step 6: Final answer
    x = 901,150.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.