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Finding the Third Proportional to 507,616,855.50 and 684,894,322.50

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Solution

The third proportional to 507,616,855.50 and 684,894,322.50 is: 924,083,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,616,855.50 : 684,894,322.50 = 684,894,322.50 : x
  2. Step 2: Convert to fraction form
    507,616,855.50/684,894,322.50 = 684,894,322.50/x
  3. Step 3: Cross multiply
    507,616,855.50x = 684,894,322.50 × 684,894,322.50
  4. Step 4: Simplify right side
    507,616,855.50x = 469,080,232,992,734,016
  5. Step 5: Solve for x
    x = 469,080,232,992,734,016/507,616,855.50
  6. Step 6: Final answer
    x = 924,083,248.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.