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Finding the Third Proportional to 249,023 and 373,790

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Solution

The third proportional to 249,023 and 373,790 is: 561,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,023 : 373,790 = 373,790 : x
  2. Step 2: Convert to fraction form
    249,023/373,790 = 373,790/x
  3. Step 3: Cross multiply
    249,023x = 373,790 × 373,790
  4. Step 4: Simplify right side
    249,023x = 139,718,964,100
  5. Step 5: Solve for x
    x = 139,718,964,100/249,023
  6. Step 6: Final answer
    x = 561,068.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.