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Finding the Third Proportional to 155,454 and 411,428

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Solution

The third proportional to 155,454 and 411,428 is: 1,088,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,454 : 411,428 = 411,428 : x
  2. Step 2: Convert to fraction form
    155,454/411,428 = 411,428/x
  3. Step 3: Cross multiply
    155,454x = 411,428 × 411,428
  4. Step 4: Simplify right side
    155,454x = 169,272,999,184
  5. Step 5: Solve for x
    x = 169,272,999,184/155,454
  6. Step 6: Final answer
    x = 1,088,894.46

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.