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Finding the Third Proportional to 355,308.75 and 546,686.44

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Solution

The third proportional to 355,308.75 and 546,686.44 is: 841,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,308.75 : 546,686.44 = 546,686.44 : x
  2. Step 2: Convert to fraction form
    355,308.75/546,686.44 = 546,686.44/x
  3. Step 3: Cross multiply
    355,308.75x = 546,686.44 × 546,686.44
  4. Step 4: Simplify right side
    355,308.75x = 298,866,060,946.44
  5. Step 5: Solve for x
    x = 298,866,060,946.44/355,308.75
  6. Step 6: Final answer
    x = 841,144.67

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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.