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Finding the Third Proportional to 570,335 and 883,007

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Solution

The third proportional to 570,335 and 883,007 is: 1,367,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,335 : 883,007 = 883,007 : x
  2. Step 2: Convert to fraction form
    570,335/883,007 = 883,007/x
  3. Step 3: Cross multiply
    570,335x = 883,007 × 883,007
  4. Step 4: Simplify right side
    570,335x = 779,701,362,049
  5. Step 5: Solve for x
    x = 779,701,362,049/570,335
  6. Step 6: Final answer
    x = 1,367,093.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.