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Finding the Third Proportional to 390,413 and 530,323

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Solution

The third proportional to 390,413 and 530,323 is: 720,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,413 : 530,323 = 530,323 : x
  2. Step 2: Convert to fraction form
    390,413/530,323 = 530,323/x
  3. Step 3: Cross multiply
    390,413x = 530,323 × 530,323
  4. Step 4: Simplify right side
    390,413x = 281,242,484,329
  5. Step 5: Solve for x
    x = 281,242,484,329/390,413
  6. Step 6: Final answer
    x = 720,371.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.