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Finding the Third Proportional to 430,038 and 601,477

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Solution

The third proportional to 430,038 and 601,477 is: 841,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,038 : 601,477 = 601,477 : x
  2. Step 2: Convert to fraction form
    430,038/601,477 = 601,477/x
  3. Step 3: Cross multiply
    430,038x = 601,477 × 601,477
  4. Step 4: Simplify right side
    430,038x = 361,774,581,529
  5. Step 5: Solve for x
    x = 361,774,581,529/430,038
  6. Step 6: Final answer
    x = 841,261.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.