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Finding the Third Proportional to 304,246 and 710,855

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Solution

The third proportional to 304,246 and 710,855 is: 1,660,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,246 : 710,855 = 710,855 : x
  2. Step 2: Convert to fraction form
    304,246/710,855 = 710,855/x
  3. Step 3: Cross multiply
    304,246x = 710,855 × 710,855
  4. Step 4: Simplify right side
    304,246x = 505,314,831,025
  5. Step 5: Solve for x
    x = 505,314,831,025/304,246
  6. Step 6: Final answer
    x = 1,660,875.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.