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Finding the Third Proportional to 528,265.13 and 707,702.06

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Solution

The third proportional to 528,265.13 and 707,702.06 is: 948,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,265.13 : 707,702.06 = 707,702.06 : x
  2. Step 2: Convert to fraction form
    528,265.13/707,702.06 = 707,702.06/x
  3. Step 3: Cross multiply
    528,265.13x = 707,702.06 × 707,702.06
  4. Step 4: Simplify right side
    528,265.13x = 500,842,209,266.75
  5. Step 5: Solve for x
    x = 500,842,209,266.75/528,265.13
  6. Step 6: Final answer
    x = 948,088.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.