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Finding the Third Proportional to 285,312 and 602,454

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Solution

The third proportional to 285,312 and 602,454 is: 1,272,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,312 : 602,454 = 602,454 : x
  2. Step 2: Convert to fraction form
    285,312/602,454 = 602,454/x
  3. Step 3: Cross multiply
    285,312x = 602,454 × 602,454
  4. Step 4: Simplify right side
    285,312x = 362,950,822,116
  5. Step 5: Solve for x
    x = 362,950,822,116/285,312
  6. Step 6: Final answer
    x = 1,272,119.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.