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Finding the Third Proportional to 283,594.88 and 439,335

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Solution

The third proportional to 283,594.88 and 439,335 is: 680,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,594.88 : 439,335 = 439,335 : x
  2. Step 2: Convert to fraction form
    283,594.88/439,335 = 439,335/x
  3. Step 3: Cross multiply
    283,594.88x = 439,335 × 439,335
  4. Step 4: Simplify right side
    283,594.88x = 193,015,242,225
  5. Step 5: Solve for x
    x = 193,015,242,225/283,594.88
  6. Step 6: Final answer
    x = 680,602.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.