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Finding the Third Proportional to 294,798 and 692,953

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Solution

The third proportional to 294,798 and 692,953 is: 1,628,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,798 : 692,953 = 692,953 : x
  2. Step 2: Convert to fraction form
    294,798/692,953 = 692,953/x
  3. Step 3: Cross multiply
    294,798x = 692,953 × 692,953
  4. Step 4: Simplify right side
    294,798x = 480,183,860,209
  5. Step 5: Solve for x
    x = 480,183,860,209/294,798
  6. Step 6: Final answer
    x = 1,628,857.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.