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Finding the Third Proportional to 623,408 and 911,776

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Solution

The third proportional to 623,408 and 911,776 is: 1,333,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,408 : 911,776 = 911,776 : x
  2. Step 2: Convert to fraction form
    623,408/911,776 = 911,776/x
  3. Step 3: Cross multiply
    623,408x = 911,776 × 911,776
  4. Step 4: Simplify right side
    623,408x = 831,335,474,176
  5. Step 5: Solve for x
    x = 831,335,474,176/623,408
  6. Step 6: Final answer
    x = 1,333,533.54

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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.