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Finding the Third Proportional to 611,712 and 930,528

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Solution

The third proportional to 611,712 and 930,528 is: 1,415,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,712 : 930,528 = 930,528 : x
  2. Step 2: Convert to fraction form
    611,712/930,528 = 930,528/x
  3. Step 3: Cross multiply
    611,712x = 930,528 × 930,528
  4. Step 4: Simplify right side
    611,712x = 865,882,358,784
  5. Step 5: Solve for x
    x = 865,882,358,784/611,712
  6. Step 6: Final answer
    x = 1,415,506.58

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Why These Related Problems?

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