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Finding the Third Proportional to 262,730 and 546,428

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Solution

The third proportional to 262,730 and 546,428 is: 1,136,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,730 : 546,428 = 546,428 : x
  2. Step 2: Convert to fraction form
    262,730/546,428 = 546,428/x
  3. Step 3: Cross multiply
    262,730x = 546,428 × 546,428
  4. Step 4: Simplify right side
    262,730x = 298,583,559,184
  5. Step 5: Solve for x
    x = 298,583,559,184/262,730
  6. Step 6: Final answer
    x = 1,136,465.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.