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Finding the Third Proportional to 344,953.69 and 538,412.06

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Solution

The third proportional to 344,953.69 and 538,412.06 is: 840,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,953.69 : 538,412.06 = 538,412.06 : x
  2. Step 2: Convert to fraction form
    344,953.69/538,412.06 = 538,412.06/x
  3. Step 3: Cross multiply
    344,953.69x = 538,412.06 × 538,412.06
  4. Step 4: Simplify right side
    344,953.69x = 289,887,549,045.50
  5. Step 5: Solve for x
    x = 289,887,549,045.50/344,953.69
  6. Step 6: Final answer
    x = 840,366.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.