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Finding the Third Proportional to 590,961 and 865,480.50

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Solution

The third proportional to 590,961 and 865,480.50 is: 1,267,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,961 : 865,480.50 = 865,480.50 : x
  2. Step 2: Convert to fraction form
    590,961/865,480.50 = 865,480.50/x
  3. Step 3: Cross multiply
    590,961x = 865,480.50 × 865,480.50
  4. Step 4: Simplify right side
    590,961x = 749,056,495,880.25
  5. Step 5: Solve for x
    x = 749,056,495,880.25/590,961
  6. Step 6: Final answer
    x = 1,267,522.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.