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Finding the Third Proportional to 361,138.50 and 572,346

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Solution

The third proportional to 361,138.50 and 572,346 is: 907,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,138.50 : 572,346 = 572,346 : x
  2. Step 2: Convert to fraction form
    361,138.50/572,346 = 572,346/x
  3. Step 3: Cross multiply
    361,138.50x = 572,346 × 572,346
  4. Step 4: Simplify right side
    361,138.50x = 327,579,943,716
  5. Step 5: Solve for x
    x = 327,579,943,716/361,138.50
  6. Step 6: Final answer
    x = 907,075.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.