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Finding the Third Proportional to 430,461 and 938,428.03

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Solution

The third proportional to 430,461 and 938,428.03 is: 2,045,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,461 : 938,428.03 = 938,428.03 : x
  2. Step 2: Convert to fraction form
    430,461/938,428.03 = 938,428.03/x
  3. Step 3: Cross multiply
    430,461x = 938,428.03 × 938,428.03
  4. Step 4: Simplify right side
    430,461x = 880,647,169,835.75
  5. Step 5: Solve for x
    x = 880,647,169,835.75/430,461
  6. Step 6: Final answer
    x = 2,045,823.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.