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Finding the Third Proportional to 344,802 and 535,140

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Solution

The third proportional to 344,802 and 535,140 is: 830,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,802 : 535,140 = 535,140 : x
  2. Step 2: Convert to fraction form
    344,802/535,140 = 535,140/x
  3. Step 3: Cross multiply
    344,802x = 535,140 × 535,140
  4. Step 4: Simplify right side
    344,802x = 286,374,819,600
  5. Step 5: Solve for x
    x = 286,374,819,600/344,802
  6. Step 6: Final answer
    x = 830,548.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.