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Finding the Third Proportional to 306,431,124.26 and 429,983,528.31

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Solution

The third proportional to 306,431,124.26 and 429,983,528.31 is: 603,352,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,431,124.26 : 429,983,528.31 = 429,983,528.31 : x
  2. Step 2: Convert to fraction form
    306,431,124.26/429,983,528.31 = 429,983,528.31/x
  3. Step 3: Cross multiply
    306,431,124.26x = 429,983,528.31 × 429,983,528.31
  4. Step 4: Simplify right side
    306,431,124.26x = 184,885,834,616,712,640
  5. Step 5: Solve for x
    x = 184,885,834,616,712,640/306,431,124.26
  6. Step 6: Final answer
    x = 603,352,009.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.