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Finding the Third Proportional to 384,423 and 610,968

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Solution

The third proportional to 384,423 and 610,968 is: 971,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,423 : 610,968 = 610,968 : x
  2. Step 2: Convert to fraction form
    384,423/610,968 = 610,968/x
  3. Step 3: Cross multiply
    384,423x = 610,968 × 610,968
  4. Step 4: Simplify right side
    384,423x = 373,281,897,024
  5. Step 5: Solve for x
    x = 373,281,897,024/384,423
  6. Step 6: Final answer
    x = 971,018.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.