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Finding the Third Proportional to 281,946 and 607,904

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Solution

The third proportional to 281,946 and 607,904 is: 1,310,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,946 : 607,904 = 607,904 : x
  2. Step 2: Convert to fraction form
    281,946/607,904 = 607,904/x
  3. Step 3: Cross multiply
    281,946x = 607,904 × 607,904
  4. Step 4: Simplify right side
    281,946x = 369,547,273,216
  5. Step 5: Solve for x
    x = 369,547,273,216/281,946
  6. Step 6: Final answer
    x = 1,310,702.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.