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Finding the Third Proportional to 645,970.50 and 991,557

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Solution

The third proportional to 645,970.50 and 991,557 is: 1,522,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,970.50 : 991,557 = 991,557 : x
  2. Step 2: Convert to fraction form
    645,970.50/991,557 = 991,557/x
  3. Step 3: Cross multiply
    645,970.50x = 991,557 × 991,557
  4. Step 4: Simplify right side
    645,970.50x = 983,185,284,249
  5. Step 5: Solve for x
    x = 983,185,284,249/645,970.50
  6. Step 6: Final answer
    x = 1,522,028.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.