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Finding the Third Proportional to 364,302 and 542,709

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Solution

The third proportional to 364,302 and 542,709 is: 808,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,302 : 542,709 = 542,709 : x
  2. Step 2: Convert to fraction form
    364,302/542,709 = 542,709/x
  3. Step 3: Cross multiply
    364,302x = 542,709 × 542,709
  4. Step 4: Simplify right side
    364,302x = 294,533,058,681
  5. Step 5: Solve for x
    x = 294,533,058,681/364,302
  6. Step 6: Final answer
    x = 808,485.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.