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Finding the Third Proportional to 465,490 and 711,784

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Solution

The third proportional to 465,490 and 711,784 is: 1,088,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,490 : 711,784 = 711,784 : x
  2. Step 2: Convert to fraction form
    465,490/711,784 = 711,784/x
  3. Step 3: Cross multiply
    465,490x = 711,784 × 711,784
  4. Step 4: Simplify right side
    465,490x = 506,636,462,656
  5. Step 5: Solve for x
    x = 506,636,462,656/465,490
  6. Step 6: Final answer
    x = 1,088,393.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.