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Finding the Third Proportional to 637,117.50 and 964,940.25

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Solution

The third proportional to 637,117.50 and 964,940.25 is: 1,461,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,117.50 : 964,940.25 = 964,940.25 : x
  2. Step 2: Convert to fraction form
    637,117.50/964,940.25 = 964,940.25/x
  3. Step 3: Cross multiply
    637,117.50x = 964,940.25 × 964,940.25
  4. Step 4: Simplify right side
    637,117.50x = 931,109,686,070.06
  5. Step 5: Solve for x
    x = 931,109,686,070.06/637,117.50
  6. Step 6: Final answer
    x = 1,461,441.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.