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Finding the Third Proportional to 429,065 and 924,577.50

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Solution

The third proportional to 429,065 and 924,577.50 is: 1,992,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,065 : 924,577.50 = 924,577.50 : x
  2. Step 2: Convert to fraction form
    429,065/924,577.50 = 924,577.50/x
  3. Step 3: Cross multiply
    429,065x = 924,577.50 × 924,577.50
  4. Step 4: Simplify right side
    429,065x = 854,843,553,506.25
  5. Step 5: Solve for x
    x = 854,843,553,506.25/429,065
  6. Step 6: Final answer
    x = 1,992,340.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.