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Finding the Third Proportional to 349,984.13 and 556,497

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Solution

The third proportional to 349,984.13 and 556,497 is: 884,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,984.13 : 556,497 = 556,497 : x
  2. Step 2: Convert to fraction form
    349,984.13/556,497 = 556,497/x
  3. Step 3: Cross multiply
    349,984.13x = 556,497 × 556,497
  4. Step 4: Simplify right side
    349,984.13x = 309,688,911,009
  5. Step 5: Solve for x
    x = 309,688,911,009/349,984.13
  6. Step 6: Final answer
    x = 884,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.