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Finding the Third Proportional to 322,528,443.50 and 498,050,611

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Solution

The third proportional to 322,528,443.50 and 498,050,611 is: 769,093,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,528,443.50 : 498,050,611 = 498,050,611 : x
  2. Step 2: Convert to fraction form
    322,528,443.50/498,050,611 = 498,050,611/x
  3. Step 3: Cross multiply
    322,528,443.50x = 498,050,611 × 498,050,611
  4. Step 4: Simplify right side
    322,528,443.50x = 248,054,411,117,473,312
  5. Step 5: Solve for x
    x = 248,054,411,117,473,312/322,528,443.50
  6. Step 6: Final answer
    x = 769,093,133.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.