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Finding the Third Proportional to 464,404.32 and 653,989.89

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Solution

The third proportional to 464,404.32 and 653,989.89 is: 920,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,404.32 : 653,989.89 = 653,989.89 : x
  2. Step 2: Convert to fraction form
    464,404.32/653,989.89 = 653,989.89/x
  3. Step 3: Cross multiply
    464,404.32x = 653,989.89 × 653,989.89
  4. Step 4: Simplify right side
    464,404.32x = 427,702,771,930.40
  5. Step 5: Solve for x
    x = 427,702,771,930.40/464,404.32
  6. Step 6: Final answer
    x = 920,970.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.