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Finding the Third Proportional to 221,075.50 and 473,696

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Solution

The third proportional to 221,075.50 and 473,696 is: 1,014,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,075.50 : 473,696 = 473,696 : x
  2. Step 2: Convert to fraction form
    221,075.50/473,696 = 473,696/x
  3. Step 3: Cross multiply
    221,075.50x = 473,696 × 473,696
  4. Step 4: Simplify right side
    221,075.50x = 224,387,900,416
  5. Step 5: Solve for x
    x = 224,387,900,416/221,075.50
  6. Step 6: Final answer
    x = 1,014,983.12

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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.