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Finding the Third Proportional to 355,307.77 and 546,684.82

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Solution

The third proportional to 355,307.77 and 546,684.82 is: 841,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,307.77 : 546,684.82 = 546,684.82 : x
  2. Step 2: Convert to fraction form
    355,307.77/546,684.82 = 546,684.82/x
  3. Step 3: Cross multiply
    355,307.77x = 546,684.82 × 546,684.82
  4. Step 4: Simplify right side
    355,307.77x = 298,864,292,760.11
  5. Step 5: Solve for x
    x = 298,864,292,760.11/355,307.77
  6. Step 6: Final answer
    x = 841,142.02

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