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Finding the Third Proportional to 623,963 and 891,657.50

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Solution

The third proportional to 623,963 and 891,657.50 is: 1,274,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,963 : 891,657.50 = 891,657.50 : x
  2. Step 2: Convert to fraction form
    623,963/891,657.50 = 891,657.50/x
  3. Step 3: Cross multiply
    623,963x = 891,657.50 × 891,657.50
  4. Step 4: Simplify right side
    623,963x = 795,053,097,306.25
  5. Step 5: Solve for x
    x = 795,053,097,306.25/623,963
  6. Step 6: Final answer
    x = 1,274,199.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.