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Finding the Third Proportional to 355,294.69 and 546,117.19

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Solution

The third proportional to 355,294.69 and 546,117.19 is: 839,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,294.69 : 546,117.19 = 546,117.19 : x
  2. Step 2: Convert to fraction form
    355,294.69/546,117.19 = 546,117.19/x
  3. Step 3: Cross multiply
    355,294.69x = 546,117.19 × 546,117.19
  4. Step 4: Simplify right side
    355,294.69x = 298,243,982,482.91
  5. Step 5: Solve for x
    x = 298,243,982,482.91/355,294.69
  6. Step 6: Final answer
    x = 839,427.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.