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Finding the Third Proportional to 430,064 and 601,514

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Solution

The third proportional to 430,064 and 601,514 is: 841,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,064 : 601,514 = 601,514 : x
  2. Step 2: Convert to fraction form
    430,064/601,514 = 601,514/x
  3. Step 3: Cross multiply
    430,064x = 601,514 × 601,514
  4. Step 4: Simplify right side
    430,064x = 361,819,092,196
  5. Step 5: Solve for x
    x = 361,819,092,196/430,064
  6. Step 6: Final answer
    x = 841,314.53

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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.