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Finding the Third Proportional to 612,525 and 983,362.50

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Solution

The third proportional to 612,525 and 983,362.50 is: 1,578,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,525 : 983,362.50 = 983,362.50 : x
  2. Step 2: Convert to fraction form
    612,525/983,362.50 = 983,362.50/x
  3. Step 3: Cross multiply
    612,525x = 983,362.50 × 983,362.50
  4. Step 4: Simplify right side
    612,525x = 967,001,806,406.25
  5. Step 5: Solve for x
    x = 967,001,806,406.25/612,525
  6. Step 6: Final answer
    x = 1,578,714.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.