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Finding the Third Proportional to 287,358 and 611,076

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Solution

The third proportional to 287,358 and 611,076 is: 1,299,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,358 : 611,076 = 611,076 : x
  2. Step 2: Convert to fraction form
    287,358/611,076 = 611,076/x
  3. Step 3: Cross multiply
    287,358x = 611,076 × 611,076
  4. Step 4: Simplify right side
    287,358x = 373,413,877,776
  5. Step 5: Solve for x
    x = 373,413,877,776/287,358
  6. Step 6: Final answer
    x = 1,299,472.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.