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Finding the Third Proportional to 502,130 and 702,333

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Solution

The third proportional to 502,130 and 702,333 is: 982,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,130 : 702,333 = 702,333 : x
  2. Step 2: Convert to fraction form
    502,130/702,333 = 702,333/x
  3. Step 3: Cross multiply
    502,130x = 702,333 × 702,333
  4. Step 4: Simplify right side
    502,130x = 493,271,642,889
  5. Step 5: Solve for x
    x = 493,271,642,889/502,130
  6. Step 6: Final answer
    x = 982,358.44

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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.