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Finding the Third Proportional to 292,257 and 456,840

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Solution

The third proportional to 292,257 and 456,840 is: 714,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,257 : 456,840 = 456,840 : x
  2. Step 2: Convert to fraction form
    292,257/456,840 = 456,840/x
  3. Step 3: Cross multiply
    292,257x = 456,840 × 456,840
  4. Step 4: Simplify right side
    292,257x = 208,702,785,600
  5. Step 5: Solve for x
    x = 208,702,785,600/292,257
  6. Step 6: Final answer
    x = 714,107.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.