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Finding the Third Proportional to 350,278,438.50 and 492,710,343.75

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Solution

The third proportional to 350,278,438.50 and 492,710,343.75 is: 693,058,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,278,438.50 : 492,710,343.75 = 492,710,343.75 : x
  2. Step 2: Convert to fraction form
    350,278,438.50/492,710,343.75 = 492,710,343.75/x
  3. Step 3: Cross multiply
    350,278,438.50x = 492,710,343.75 × 492,710,343.75
  4. Step 4: Simplify right side
    350,278,438.50x = 242,763,482,838,243,168
  5. Step 5: Solve for x
    x = 242,763,482,838,243,168/350,278,438.50
  6. Step 6: Final answer
    x = 693,058,596.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.