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Finding the Third Proportional to 743,148 and 1,034,032.50

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Solution

The third proportional to 743,148 and 1,034,032.50 is: 1,438,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,148 : 1,034,032.50 = 1,034,032.50 : x
  2. Step 2: Convert to fraction form
    743,148/1,034,032.50 = 1,034,032.50/x
  3. Step 3: Cross multiply
    743,148x = 1,034,032.50 × 1,034,032.50
  4. Step 4: Simplify right side
    743,148x = 1,069,223,211,056.25
  5. Step 5: Solve for x
    x = 1,069,223,211,056.25/743,148
  6. Step 6: Final answer
    x = 1,438,775.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.