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Finding the Third Proportional to 262,645 and 390,139

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Solution

The third proportional to 262,645 and 390,139 is: 579,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,645 : 390,139 = 390,139 : x
  2. Step 2: Convert to fraction form
    262,645/390,139 = 390,139/x
  3. Step 3: Cross multiply
    262,645x = 390,139 × 390,139
  4. Step 4: Simplify right side
    262,645x = 152,208,439,321
  5. Step 5: Solve for x
    x = 152,208,439,321/262,645
  6. Step 6: Final answer
    x = 579,521.56

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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.