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Finding the Third Proportional to 430,051 and 601,499

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Solution

The third proportional to 430,051 and 601,499 is: 841,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,051 : 601,499 = 601,499 : x
  2. Step 2: Convert to fraction form
    430,051/601,499 = 601,499/x
  3. Step 3: Cross multiply
    430,051x = 601,499 × 601,499
  4. Step 4: Simplify right side
    430,051x = 361,801,047,001
  5. Step 5: Solve for x
    x = 361,801,047,001/430,051
  6. Step 6: Final answer
    x = 841,298.00

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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.