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Finding the Third Proportional to 345,421,678.50 and 493,957,066.50

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Solution

The third proportional to 345,421,678.50 and 493,957,066.50 is: 706,364,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,421,678.50 : 493,957,066.50 = 493,957,066.50 : x
  2. Step 2: Convert to fraction form
    345,421,678.50/493,957,066.50 = 493,957,066.50/x
  3. Step 3: Cross multiply
    345,421,678.50x = 493,957,066.50 × 493,957,066.50
  4. Step 4: Simplify right side
    345,421,678.50x = 243,993,583,545,285,408
  5. Step 5: Solve for x
    x = 243,993,583,545,285,408/345,421,678.50
  6. Step 6: Final answer
    x = 706,364,419.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.