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Finding the Third Proportional to 345,662,004 and 505,369,930.50

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Solution

The third proportional to 345,662,004 and 505,369,930.50 is: 738,868,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,662,004 : 505,369,930.50 = 505,369,930.50 : x
  2. Step 2: Convert to fraction form
    345,662,004/505,369,930.50 = 505,369,930.50/x
  3. Step 3: Cross multiply
    345,662,004x = 505,369,930.50 × 505,369,930.50
  4. Step 4: Simplify right side
    345,662,004x = 255,398,766,653,574,816
  5. Step 5: Solve for x
    x = 255,398,766,653,574,816/345,662,004
  6. Step 6: Final answer
    x = 738,868,500.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.