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Finding the Third Proportional to 443,280 and 702,031.50

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Solution

The third proportional to 443,280 and 702,031.50 is: 1,111,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,280 : 702,031.50 = 702,031.50 : x
  2. Step 2: Convert to fraction form
    443,280/702,031.50 = 702,031.50/x
  3. Step 3: Cross multiply
    443,280x = 702,031.50 × 702,031.50
  4. Step 4: Simplify right side
    443,280x = 492,848,226,992.25
  5. Step 5: Solve for x
    x = 492,848,226,992.25/443,280
  6. Step 6: Final answer
    x = 1,111,821.48

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.