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Finding the Third Proportional to 623,376 and 911,736

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Solution

The third proportional to 623,376 and 911,736 is: 1,333,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,376 : 911,736 = 911,736 : x
  2. Step 2: Convert to fraction form
    623,376/911,736 = 911,736/x
  3. Step 3: Cross multiply
    623,376x = 911,736 × 911,736
  4. Step 4: Simplify right side
    623,376x = 831,262,533,696
  5. Step 5: Solve for x
    x = 831,262,533,696/623,376
  6. Step 6: Final answer
    x = 1,333,484.98

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Why These Related Problems?

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