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Finding the Third Proportional to 296,539,450.88 and 617,623,056

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Solution

The third proportional to 296,539,450.88 and 617,623,056 is: 1,286,365,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,539,450.88 : 617,623,056 = 617,623,056 : x
  2. Step 2: Convert to fraction form
    296,539,450.88/617,623,056 = 617,623,056/x
  3. Step 3: Cross multiply
    296,539,450.88x = 617,623,056 × 617,623,056
  4. Step 4: Simplify right side
    296,539,450.88x = 381,458,239,302,779,136
  5. Step 5: Solve for x
    x = 381,458,239,302,779,136/296,539,450.88
  6. Step 6: Final answer
    x = 1,286,365,905.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.