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Finding the Third Proportional to 469,946 and 715,953

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Solution

The third proportional to 469,946 and 715,953 is: 1,090,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,946 : 715,953 = 715,953 : x
  2. Step 2: Convert to fraction form
    469,946/715,953 = 715,953/x
  3. Step 3: Cross multiply
    469,946x = 715,953 × 715,953
  4. Step 4: Simplify right side
    469,946x = 512,588,698,209
  5. Step 5: Solve for x
    x = 512,588,698,209/469,946
  6. Step 6: Final answer
    x = 1,090,739.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.