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Finding the Third Proportional to 475,072 and 730,528

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Solution

The third proportional to 475,072 and 730,528 is: 1,123,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,072 : 730,528 = 730,528 : x
  2. Step 2: Convert to fraction form
    475,072/730,528 = 730,528/x
  3. Step 3: Cross multiply
    475,072x = 730,528 × 730,528
  4. Step 4: Simplify right side
    475,072x = 533,671,158,784
  5. Step 5: Solve for x
    x = 533,671,158,784/475,072
  6. Step 6: Final answer
    x = 1,123,347.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.