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Finding the Third Proportional to 333,360 and 529,564.50

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Solution

The third proportional to 333,360 and 529,564.50 is: 841,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,360 : 529,564.50 = 529,564.50 : x
  2. Step 2: Convert to fraction form
    333,360/529,564.50 = 529,564.50/x
  3. Step 3: Cross multiply
    333,360x = 529,564.50 × 529,564.50
  4. Step 4: Simplify right side
    333,360x = 280,438,559,660.25
  5. Step 5: Solve for x
    x = 280,438,559,660.25/333,360
  6. Step 6: Final answer
    x = 841,248.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.