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Finding the Third Proportional to 385,575 and 576,094.50

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Solution

The third proportional to 385,575 and 576,094.50 is: 860,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,575 : 576,094.50 = 576,094.50 : x
  2. Step 2: Convert to fraction form
    385,575/576,094.50 = 576,094.50/x
  3. Step 3: Cross multiply
    385,575x = 576,094.50 × 576,094.50
  4. Step 4: Simplify right side
    385,575x = 331,884,872,930.25
  5. Step 5: Solve for x
    x = 331,884,872,930.25/385,575
  6. Step 6: Final answer
    x = 860,753.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.