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Finding the Third Proportional to 710,046 and 998,730

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Solution

The third proportional to 710,046 and 998,730 is: 1,404,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,046 : 998,730 = 998,730 : x
  2. Step 2: Convert to fraction form
    710,046/998,730 = 998,730/x
  3. Step 3: Cross multiply
    710,046x = 998,730 × 998,730
  4. Step 4: Simplify right side
    710,046x = 997,461,612,900
  5. Step 5: Solve for x
    x = 997,461,612,900/710,046
  6. Step 6: Final answer
    x = 1,404,784.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.