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Finding the Third Proportional to 623,871 and 991,696.50

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Solution

The third proportional to 623,871 and 991,696.50 is: 1,576,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,871 : 991,696.50 = 991,696.50 : x
  2. Step 2: Convert to fraction form
    623,871/991,696.50 = 991,696.50/x
  3. Step 3: Cross multiply
    623,871x = 991,696.50 × 991,696.50
  4. Step 4: Simplify right side
    623,871x = 983,461,948,112.25
  5. Step 5: Solve for x
    x = 983,461,948,112.25/623,871
  6. Step 6: Final answer
    x = 1,576,386.70

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