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Finding the Third Proportional to 214,981.50 and 455,574

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Solution

The third proportional to 214,981.50 and 455,574 is: 965,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,981.50 : 455,574 = 455,574 : x
  2. Step 2: Convert to fraction form
    214,981.50/455,574 = 455,574/x
  3. Step 3: Cross multiply
    214,981.50x = 455,574 × 455,574
  4. Step 4: Simplify right side
    214,981.50x = 207,547,669,476
  5. Step 5: Solve for x
    x = 207,547,669,476/214,981.50
  6. Step 6: Final answer
    x = 965,421.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.