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Finding the Third Proportional to 369,982 and 585,307.50

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Solution

The third proportional to 369,982 and 585,307.50 is: 925,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,982 : 585,307.50 = 585,307.50 : x
  2. Step 2: Convert to fraction form
    369,982/585,307.50 = 585,307.50/x
  3. Step 3: Cross multiply
    369,982x = 585,307.50 × 585,307.50
  4. Step 4: Simplify right side
    369,982x = 342,584,869,556.25
  5. Step 5: Solve for x
    x = 342,584,869,556.25/369,982
  6. Step 6: Final answer
    x = 925,950.10

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.