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Finding the Third Proportional to 364,948.50 and 581,146.50

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Solution

The third proportional to 364,948.50 and 581,146.50 is: 925,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,948.50 : 581,146.50 = 581,146.50 : x
  2. Step 2: Convert to fraction form
    364,948.50/581,146.50 = 581,146.50/x
  3. Step 3: Cross multiply
    364,948.50x = 581,146.50 × 581,146.50
  4. Step 4: Simplify right side
    364,948.50x = 337,731,254,462.25
  5. Step 5: Solve for x
    x = 337,731,254,462.25/364,948.50
  6. Step 6: Final answer
    x = 925,421.68

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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.